The number 18360
18360 is a composite number with 64 divisors. Its prime factorisation is × × 5 × 17. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 27 … 18360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18360: a Harshad number: divisible by its digit sum 18.
- 2
18360 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 18360 itself that is 46440, so 18360 is abundant (46440 is more than 18360). Euler's totient φ(18360) = 4608 numbers up to 18360 share no factor with it.
- 4
The digits of 18360 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18360 = 2^{3} \times 3^{3} \times 5 \times 17 \]18360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 4608 |
| Square | 337089600 |
| Cube | 6188965056000 |
| Square root | 135.499077 (= 6√510) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.836 × |
18360 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and sixty |
| Binary (base 2) | 100011110111000 |
| Octal (base 8) | 43670 |
| Hexadecimal (base 16) | 47B8 |
| Base 3 | 221012000 |
| As time | 18360 seconds = 5 h 6 min 0 s |
Is 18360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18360 ÷ 2 = 9180) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18360 ÷ 3 = 6120) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18360 ÷ 4 = 4590) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18360 ÷ 5 = 3672) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18360 ÷ 6 = 3060) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (18360 ÷ 8 = 2295) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18360 ÷ 9 = 2040) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18360 ÷ 10 = 1836) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18360 ÷ 12 = 1530) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18360 a prime number?
No. 18360 = × × 5 × 17, so it is divisible by 2.
What are the factors of 18360?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 27, 30, 34, 36, 40, 45, 51, 54, 60, 68, 72, 85, 90, 102, 108, 120, 135, 136, 153, 170, 180, 204, 216, 255, 270, 306, 340, 360, 408, 459, 510, 540, 612, 680, 765, 918, 1020, 1080, 1224, 1530, 1836, 2040, 2295, 3060, 3672, 4590, 6120, 9180, 18360.
What is 18360 in binary?
100011110111000 (hexadecimal 47B8, octal 43670).
What is the square root of 18360?
About 135.4991, exactly 6√510.
Is 18360 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18360?
18360 is a Harshad number: divisible by its digit sum 18.